Well it would seem to me that as long as they take care of the JWs who need help then they can be sure they don't lose a few along the way.
You would think though that somewhere along the line the WTS might see this as a preaching opportunity as non-JWs get rooming help with those JWs who have place to put some family up for a bit.
On the other hand wouldn't is be something if the JWs refugee wound up being housed with an apostate family? The things we could teach them!!!